定理证明

Isabelle使用自然演绎规则进行推理，为定理证明系统的开发提供了一个通用的框架。

Using natural deduction rules , Isabelle provides a generic framework for developing theorem proving systems .

目前有许多比较著名的形式化方法如BAN逻辑、串空间模型理论、定理证明等。

There are many famous formal methods such as BAN logic , strand space theory , theorem proving and so on .

一种基于定理证明的Web服务合成方法研究

Research on Theorem Proof Based Web Services Composition Method

用Lyapunov定理证明了该控制系统的稳定性。

The stableness is proved using Lyapunov theory .

对Lagrange中值定理证明方法的讨论

Some New Proofs of the Lagrange Mean Value Theorem

关于Lagrange中值定理证明的一个注记

The Comment on Proof to Lagrange Mean Value Theorem

Lagrange定理证明方法探讨

Study on the Way of Proving Lagrange Theorem

该文旨在扼要介绍自动化定理证明（ATP）的发展历史与现状。

The purpose of this paper is to introduce the development and present situation of ATP briefly .

对Riemann重新安排定理证明中注的证明

The Proof of " Notes " in the Proving of Rearranged Theorem by Riemann

本文试从谓词公式简化后的PROLOG子句标记法和归结的意义出发，讨论用PROLOG实现定理证明的方法。

In this paper we discuss the method of theory proving by using PROLOG .

基于语义tableau的一阶逻辑自动定理证明

Automated Theorem Proving Based on Semantic Tableau in First-Order Logic

利用Rolle定理证明时作辅助函数的若干方法

Several Methods of Finding Auxiliary Function While Illustrating Rolle Theorem

本文利用Rolle定理证明了一个差值取样谱函数定理。

A Difference sampling Spectral Function Theorem is proved by the Rolle theorem .

基于定理证明器HOL的硬件验证研究

The Study of Hardware Verification in Theorem Prover HOL

在很弱的假设条件下，应用Lyapunov稳定性定理证明了闭环系统内的所有信号为均匀最终有界。

For this scheme , stable update laws are determined by using the Lyapunov theory , and the boundedness of all signals in the closed loop system is guaranteed .

最后建立一个映射，利用Banach压缩映射定理证明了这个积分微分方程存在唯一古典解。

At the end , through a mapping and Banach fixed point theory , the existence and uniqueness of the classical solution to this integrodifferential equation is obtained .

首先，应用Galerkin方法和紧致性定理证明上述问题整体广义解和整体古典解的存在性和惟一性；

First , the existence of the global generalized and classical solution to the above problem are proved by use of the Galerkin method and compactness theorem .

自动定理证明中RUE-NRF单元输入和锁的演绎

RUE-NRF Unit , Input and Lock Refutations in the Proof of the Automatic Theorem

使用SWI-PROLOG语言在微机上设计实现了基于tableau的定理证明系统TableauTAP。

Theorem proving system is implemented by using SWI-PROLOG language in microcomputer and proved its sound .

COMPS连接法定理证明系统

Comps connection method system for theorem proving

模拟Boyer-Moore定理证明器

A simulate Boyer-Moore theorem prover

基于Lyapunov稳定性定理证明了系统的稳定性及信号的有界性。（4）针对一类带有外部干扰、状态不可测的非仿射非线性系统，提出了基于观测器的自适应神经网络H∞跟踪控制方法。

The stability of closed-loop system and signals boundness are demonstrated by Lyapunov stability theorem . ( 4 ) An observer-based adaptive neural-network H ∞ tracking control scheme is presented for a class of nonaffine nonlinear systems with external disturbance and unavailable states .

关于Farkas定理证明中的一点注记对合的不动点集为非常余维数的流形

A NOT ABOUT THE PROOF OF FARKAS THEOREM Manifolds with Involution whose Fixed Point Set has not Constant Codimension

上述工作的形式化是在交互式定理证明器HOL系统中完成的。

SYSTEM All definitions and proofs have been done fully formally with the interactive theorem prover HOL 4 , representing one of its major applications .

本文对一类含扩散项和非齐次项的凝血系统，应用Galerkin方法和Leray-Schauder不动点定理证明了时间周期解的存在性。

This paper discusses a type of blood coagulation system with diffusion and non-homogeneous terms . The existence of a time-periodic solution is proved by using the Galerkin method and the Leray-Schauder fixed point theorem .

在tableau方法基础上，讨论了一阶逻辑中的自动定理证明理论，提出使用模型存在定理证明其可靠性和完备性的方法。

Based on tableau the theories of automated theorem proving in first-order logic are discussed . For proving the soundness and the completeness , the methods of theorem proving using the model existence theorem are presented .

在拓扑序空间的框架下，利用一个序KKM型定理证明了一些广义向量值均衡问题解的存在性定理。

Using an O-KKM type theorem , some existence theorems of solutions for abstract generalized vector equilibrium problems in the framework of topological ordered spaces is proved .

水文应用Cesaro方法和作者的非线性应变-转动张量分解定理证明上述条件仅是必要的，尚不充分保证位移场的单值性与连续；

However , we prove in this paper by the method of Cesaro that this condition is necessary but not sufficient for the guarantee of single-valued , continuous displacement field .

本文对二阶椭圆问题构造了一个新的非常规Hermite型矩形单元并用各向异性插值基本定理证明了其各向异性特征，从而可用于任意的矩形剖分。

In this paper , a new unconventional Hermite-type rectangular element for the second order elliptic problem is constructed . The anisotropic character is proved by using anisotropic interpolate basic theorem , thus this element can be applied to arbitrary rectangular subdivision .

本文将一类二阶椭圆型方程组化为等价的一阶复方程组，通过引入新的积分算子，然后利用Fredholm定理证明了解的存在性。

In this paper , by the method of making a group of equivalent complex equations of a bounded domain and Fredholm theorem , we obtained the existing of solutions for a class of second order elliptic systems .